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Finding the Fourth Proportional to 298,981,504.30, 448,472,256.45 and 298,981,504.30

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Solution

The fourth proportional to 298,981,504.30, 448,472,256.45 and 298,981,504.30 is: 448,472,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,981,504.30 : 448,472,256.45 = 298,981,504.30 : x
  2. Step 2: Convert to fraction form
    298,981,504.30/448,472,256.45 = 298,981,504.30/x
  3. Step 3: Cross multiply
    298,981,504.30x = 448,472,256.45 × 298,981,504.30
  4. Step 4: Simplify right side
    298,981,504.30x = 134,084,909,870,236,384
  5. Step 5: Solve for x
    x = 134,084,909,870,236,384/298,981,504.30
  6. Step 6: Final answer
    x = 448,472,256.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.